TCMLL
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TCMLL is a method for solving the last four corners in Roux when the First two blocks are finished but the DFR corner is twisted. It was inspired by TCLL for 2x2. Similarly to CMLL, it doesn't preserve the edges in U and M.
TCMLL is also used in the WaterRoux method, for which Neuro has developed a list of algorithms. [2]
Pros
- Movecount is very similar to CMLL
- First two blocks can be built more efficiently
Cons
- 86 additional algorithms
- Not as optimized as CMLL
Tyrannical Caterpillar
Tyrannical Caterpillar is a variant to TCMLL which was developed in 2017 by Jules Manalang. Instead of only solving the four U layer corners and orienting the DFR corner, the FR edge is solved as well. Therefore, only the DFR corner needs to be inserted in any orientation, as opposed to a whole pair in Roux. To solve the missing edge, M moves are inserted during TCMLL.
TCMLL-N
TCMLL-N is an updated version of TCMLL. It requires a corner-edge pair to be inserted incorrectly into either the front slot (called the "a" set) or back slot (called the "b" set). Doing the TCMLL will allow the solver to solve the pair while solving CMLL, such that they can complete the solve by doing LSE.
It was developed in 2025 by Reuel Franz, Cordelia Hu, Tyler Gee, Alvaro Vizuete, Teri McAcy, Hyunseung Ko, and others.
Because the algorithm set allows for inserting a Second Block pair twisted/"wrongly", it improves average Second Block efficiency by turning long SBLP or Second Square solutions into short (or even skip) cases. Situationally, it can also be used to shorten First Block solutions by building it with a twisted pair and either adjusting the D face or rotating before executing the algorithm.
TCMLL-N has ten subsets (1a - 5b), each consisting of 43 algorithms (for a total of 430). Sets 1a-2b have only corner twisted in place, sets 3a-3b have only one edge twisted in place, and sets 4a-5b deal with both an edge flip and a corner twisted in place.
It is theorized that this algorithm set is especially viable for One Handed, where efficiency is considered more important. Because of this, the algorithm sheet the initial creators made was made with algorithms specifically optimized for OH.

